{"id":96988,"date":"2026-08-28T21:10:01","date_gmt":"2026-08-28T13:10:01","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/96988.html"},"modified":"2026-08-28T21:10:01","modified_gmt":"2026-08-28T13:10:01","slug":"%e9%9a%8f%e6%9c%ba%e6%8e%92%e5%88%97%e4%b8%8efisher-yates%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/96988.html","title":{"rendered":"\u968f\u673a\u6392\u5217\u4e0eFisher-Yates\u7b97\u6cd5"},"content":{"rendered":"<p id=\"main-toc\">\u76ee\u5f55<\/p>\n<p id=\"1.%20%E9%9A%8F%E6%9C%BA%E6%8E%92%E5%88%97-toc\" style=\"margin-left:0px\">1. \u968f\u673a\u6392\u5217<\/p>\n<p id=\"2.%20%E5%9D%87%E5%8C%80%E9%9A%8F%E6%9C%BA%E6%8E%92%E5%88%97-toc\" style=\"margin-left:0px\">2. \u5747\u5300\u968f\u673a\u6392\u5217<\/p>\n<p id=\"3.%C2%A0Fisher-Yates%20Shuffle%3A%20Original%C2%A0Version-toc\" style=\"margin-left:0px\">3.\u00a0Fisher-Yates Shuffle: Original\u00a0Version<\/p>\n<p id=\"4.%C2%A0Fisher-Yates%20Shuffle%3A%20Modern%C2%A0Version-toc\" style=\"margin-left:0px\">4.\u00a0Fisher-Yates Shuffle: Modern\u00a0Version<\/p>\n<hr id=\"hr-toc\" \/>\n<h2 id=\"1.%20%E9%9A%8F%E6%9C%BA%E6%8E%92%E5%88%97\"><span style=\"color:#0d0016\">1. \u968f\u673a\u6392\u5217<\/span><\/h2>\n<p><span style=\"color:#0d0016\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"174\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a70a633.png\" width=\"794\" \/><\/span><\/p>\n<p><span style=\"color:#0d0016\">\u5c06\u4e0a\u97627\u5f20\u724c\u8fdb\u884c\u968f\u673a\u6392\u5217&#xff0c;\u53ef\u80fd\u4f1a\u5f97\u5230\u4e0b\u9762\u7ed3\u679c\u3002<\/span><\/p>\n<p><span style=\"color:#0d0016\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"169\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a78155a.png\" width=\"782\" \/><\/span><\/p>\n<h2 id=\"2.%20%E5%9D%87%E5%8C%80%E9%9A%8F%E6%9C%BA%E6%8E%92%E5%88%97\"><span style=\"color:#0d0016\">2. \u5747\u5300\u968f\u673a\u6392\u5217<\/span><\/h2>\n<p><span style=\"color:#0d0016\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"201\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a79c794.png\" width=\"632\" \/><\/span><\/p>\n<p><span style=\"color:#0d0016\">\u4e0a\u9762\u662f\u96c6\u5408\u00a0<img decoding=\"async\" alt=\"\\\\{A,B,C\\\\}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7b2070.png\" \/>\u00a0\u7684\u5747\u5300\u968f\u673a\u6392\u5217\u3002<\/span><\/p>\n<p><span style=\"color:#0d0016\">\u82e5\u4e00\u4e2a\u96c6\u5408\u542b\u6709\u00a0<img decoding=\"async\" alt=\"n\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7bfa54.png\" \/>\u00a0\u4e2a\u5143\u7d20&#xff0c;\u5219\u5171\u6709\u00a0<img decoding=\"async\" alt=\"n!\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7cd1d1.png\" \/>\u00a0\u79cd\u6392\u5217\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color:#0d0016\">\u4ece\u00a0<img decoding=\"async\" alt=\"n!\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7cd1d1.png\" \/>\u00a0\u79cd\u53ef\u80fd\u7684\u5e8f\u5217\u4e2d\u7b49\u6982\u7387\u968f\u673a\u9009\u53d6\u4e00\u4e2a\u3002<\/span><\/li>\n<li><span style=\"color:#0d0016\">\u67d0\u4e2a\u5143\u7d20\u51fa\u73b0\u5728\u00a0<img decoding=\"async\" alt=\"n\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7bfa54.png\" \/>\u00a0\u4e2a\u4efb\u610f\u4f4d\u7f6e\u4e0a\u7684\u6982\u7387\u76f8\u7b49\u3002<\/span><\/li>\n<li><span style=\"color:#0d0016\">\u67d0\u4e2a\u4f4d\u7f6e\u4e0a\u4e3a\u00a0<img decoding=\"async\" alt=\"n\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7bfa54.png\" \/>\u00a0\u4e2a\u4efb\u610f\u5143\u7d20\u4e4b\u4e00\u7684\u6982\u7387\u76f8\u7b49\u3002<\/span><\/li>\n<\/ul>\n<h2 id=\"3.%C2%A0Fisher-Yates%20Shuffle%3A%20Original%C2%A0Version\"><span style=\"color:#0d0016\">3.\u00a0Fisher-Yates Shuffle: Original\u00a0Version<\/span><\/h2>\n<p><span style=\"color:#0d0016\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"343\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7dad94.png\" width=\"732\" \/><\/span><\/p>\n<p><span style=\"color:#0d0016\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"280\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7f4096.png\" width=\"703\" \/><\/span><\/p>\n<p><span style=\"color:#0d0016\">\u8fdb\u884c\u00a0<img decoding=\"async\" alt=\"n\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828130959-6a9188a7bfa54.png\" \/>\u00a0\u8f6e\u5faa\u73af&#xff0c;\u6bcf\u8f6e\u5faa\u574f\u4ece\u539f\u5e8f\u5217\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u5143\u7d20&#xff0c;\u5199\u5165\u6392\u5217\u6570\u7ec4\u4e2d&#xff0c;\u539f\u5e8f\u5217\u4e2d\u7684\u7a7a\u4f4d\u7531\u88ab\u62bd\u53d6\u5143\u7d20\u7684\u540e\u9762\u5143\u7d20\u90fd\u5de6\u79fb\u4e00\u4f4d\u8865\u5e73\u3002<\/span><\/p>\n<p><span style=\"color:#0d0016\">\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<img decoding=\"async\" alt=\"O(n^2)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828131000-6a9188a817005.png\" \/><\/span><\/p>\n<h2 id=\"4.%C2%A0Fisher-Yates%20Shuffle%3A%20Modern%C2%A0Version\"><span style=\"color:#0d0016\">4.\u00a0Fisher-Yates Shuffle: Modern\u00a0Version<\/span><\/h2>\n<p><span style=\"color:#0d0016\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"188\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828131000-6a9188a824578.png\" width=\"701\" \/><\/span><\/p>\n<p><span style=\"color:#0d0016\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"189\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260828131000-6a9188a83939c.png\" width=\"702\" \/><\/span><\/p>\n<p>void permute(int arr[], int n){<br \/>\n     for (int i&#061;0; i&lt;&#061;n-2; i&#043;&#043;){<br \/>\n     \/\/ k\u4ece{0,1,&#8230;, n-i-1}\u4e2d\u968f\u673a\u53d6\u6837<br \/>\n     int k &#061; uniform(n-i);<br \/>\n     \/\/ j\u7684\u8303\u56f4{i, i&#043;1, &#8230;, n-1}<br \/>\n     int j &#061; i &#043; k;<br \/>\n     \/\/ \u4ea4\u6362arr[i]\u548carr[j]<br \/>\n     swap(arr[i],arr[j]);<br \/>\n     }<br \/>\n}<\/p>\n<p><span 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